Use linear approximation to estimate √(4.01) + (4.01)2 correct to four decimal places.

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Q: Solve the given initial-value problem. y(x) = y" + 6y'7y = 11e²x, y(0) = 1, y'(0) = 1 -7.x 11e2x 7e…

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A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 -7.x 11,2x…

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Q: 4- y = e fonksiyonu, a = 3 doğrusu ve koordinat eksenleri ile sınırlı bölgenin y=-3 doğrusu…

A: 4 Given function is y=e−x, x=3. We have to find the volume of the region bounded by the given curves…

Q: Romberg integration for approximating f f(x) dx gives R₂1 = 2 and R22 = 12 then f(0) = O 14 O 4 O…

A: Here given integration as ∫-11fxdx and given R21=2, R22=12 Now, According to Romberg integration for…

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Q: where do the curve of y = cosx and y=x²-1 intersect?

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Q: $ D Surface Aren So Sex & trift-gin 1-1/² D S= (6²-y²) =7 y b₂ SERS() JH (fa) dx 6² D 0 $10k Tave…

A: From the above details we have,

Q: 2x1 if x ≥ 0 x-3 if x 3], [ƒ ≤ −3], and [ƒ² > 9]. Q. Given f(x) = {

A: Given that: f(x)=2x-1 if x≥0x-3ifx<0 The objective is to determine f>3,f≤-3, and f2>9. Now…

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Q: 6 x== If a region is bounded by y, x = -y, y = 1, and y = 3, find the definite integral that will…

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Q: Does the series k=1 O converges absolutely O diverges Does the series converges conditionally 1 k6+5…

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Q: Consider the following nonhomogeneous heat boundary-value problem (BVP): u, (x,t) u (x,t) + cos x,…

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Q: 3) Plove that (3-21) (x+21) = 3 +2i if it was very valuable X, Z

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Q: If an investment grew to $12,500 in 2 years and the interest amount earned was $964.11, calculate…

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A: # as per the guidelines we are entitled to solve one question (maximum 3 subparts) . Please resubmit…

Q: Find the solution to the initial value problem: dy = 5y dx y(x) = y(1) = 1

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Q: Solve the initial value problem y" +0.2y +0.01y = 0; y(0) = 0, y/(0) = 2

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Q: 8. Given the system dx dt = = Ax with A= 22 5 -1 (a) Find the eigenvalues and corresponding…

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Q: Define f : X → K by f(x) = x'(1), x € X. Again, the linear functional f is not continuous. By 6.4,…

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Q: (b) In the diagram, BE bisects ZABD and CD= AB. (i) Prove that ACED=AAEB.

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Q: Make a generalization if tbe patterns discovered from the answers on the table.

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Q: max st. z = 3x1 + 2x₂ + 5x3 2x₁ + x₂ < 20 X₂ + 2 v

A: Max Z = 3x1+2x2+5x3 subject to  2x1+x2≤20x2+3x3≤30x1+x2≤25x1,x2,x3≥0 Add the slack variables…

Q: d and e is not solved

A: We already have  A(t)=t23t43-2t-13-t23 and general solution  x(t)=3+t3c1+t2c2-tc1-c2

Q: 3 where do the curve of y = cosx and y = x³ -1 intersect?

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Q: Set-up the integral that would find the volume of the solid of revolution when given region bounded…

A: The height of the differential element is an x-distance, between x=3y-y2 and x=-4. Thus…

Q: solve this equation dy -= 4 e0.8t - 0.5 y dt where y (0) = 2 and h = 1 using fourth order Runge…

A: Given differential equation is dydt =4 e0.8 t -0.5 y Take dydt =ft, y Here, ft, y= 4 e0.8 t -0.5 y…